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Finding the Fourth Proportional to 106,991.79, 160,495.88 and 32,106.48

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Solution

The fourth proportional to 106,991.79, 160,495.88 and 32,106.48 is: 48,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,991.79 : 160,495.88 = 32,106.48 : x
  2. Step 2: Convert to fraction form
    106,991.79/160,495.88 = 32,106.48/x
  3. Step 3: Cross multiply
    106,991.79x = 160,495.88 × 32,106.48
  4. Step 4: Simplify right side
    106,991.79x = 5,152,957,761.30
  5. Step 5: Solve for x
    x = 5,152,957,761.30/106,991.79
  6. Step 6: Final answer
    x = 48,162.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.